Search a number
-
+
4106022624 = 253311432031
BaseRepresentation
bin1111010010111100…
…1110111011100000
3101121011012120011000
43310233032323200
531402120210444
61515234152000
7203515421304
oct36457167340
911534176130
104106022624
111817819630
12967122600
135058935b2
142ad471d04
15190719469
hexf4bceee0

4106022624 has 96 divisors (see below), whose sum is σ = 13064647680. Its totient is φ = 1244246400.

The previous prime is 4106022611. The next prime is 4106022637. The reversal of 4106022624 is 4262206014.

4106022624 is a `hidden beast` number, since 4 + 10 + 6 + 0 + 22 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (4106022611) and next prime (4106022637).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206512 + ... + 225519.

It is an arithmetic number, because the mean of its divisors is an integer number (136090080).

Almost surely, 24106022624 is an apocalyptic number.

4106022624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4106022624 is an abundant number, since it is smaller than the sum of its proper divisors (8958625056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4106022624 is a wasteful number, since it uses less digits than its factorization.

4106022624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432061 (or 432047 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4106022624 is about 64078.2539087950. The cubic root of 4106022624 is about 1601.3039661731.

Adding to 4106022624 its reverse (4262206014), we get a palindrome (8368228638).

The spelling of 4106022624 in words is "four billion, one hundred six million, twenty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 432031 864062 1296093 1728124 2592186 3456248 3888279 4752341 5184372 6912496 7776558 9504682 10368744 11664837 13824992 14257023 15553116 19009364 20737488 23329674 28514046 31106232 38018728 41474976 42771069 46659348 57028092 62212464 76037456 85542138 93318696 114056184 124424928 128313207 152074912 171084276 186637392 228112368 256626414 342168552 373274784 456224736 513252828 684337104 1026505656 1368674208 2053011312 4106022624